4 | f'(x) 3 2 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 -2 1. Let f be a differentiable function defined on the interval -6 < x <6.

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4 F X 3 2 2 3 4 5 6 6 5 4 3 2 1 1 2 1 Let F Be A Differentiable Function Defined On The Interval 6 X 6 1 (103.11 KiB) Viewed 23 times

4 | f'(x) 3 2 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 -2 1. Let f be a differentiable function defined on the interval -6 < x <6. The figure above shows the graph of f', the derivative of f. f'(x) consists of 3 line segments and a semi-circle on the interval -6 < x < 6. a. State the critical values of f(x) on -6 < x < 6 and classify each as a relative minimum, relative maximum, or neither on the graph of f(x). Justify. b. On what interval(s) contained on -6 < x < 6 is f(x) increasing? Justify. c. For what value(s) of x contained on -6 < x < 6 does f(x) have a point of inflection? Justify. d. On what interval(s) contained on –6 < x < 6 is f(x) concave up and decreasing? Justify.